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Finding the Fourth Proportional to 1,148.10, 1,720.78 and 599.31

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Solution

The fourth proportional to 1,148.10, 1,720.78 and 599.31 is: 898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.10 : 1,720.78 = 599.31 : x
  2. Step 2: Convert to fraction form
    1,148.10/1,720.78 = 599.31/x
  3. Step 3: Cross multiply
    1,148.10x = 1,720.78 × 599.31
  4. Step 4: Simplify right side
    1,148.10x = 1,031,280.66
  5. Step 5: Solve for x
    x = 1,031,280.66/1,148.10
  6. Step 6: Final answer
    x = 898.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.